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What is the Least Common Multiple of 45474 and 45488?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 45474 and 45488 is 1034260656.

LCM(45474,45488) = 1034260656

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Least Common Multiple of 45474 and 45488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45474 and 45488, than apply into the LCM equation.

GCF(45474,45488) = 2
LCM(45474,45488) = ( 45474 × 45488) / 2
LCM(45474,45488) = 2068521312 / 2
LCM(45474,45488) = 1034260656

Least Common Multiple (LCM) of 45474 and 45488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45474 and 45488. First we will calculate the prime factors of 45474 and 45488.

Prime Factorization of 45474

Prime factors of 45474 are 2, 3, 11, 13, 53. Prime factorization of 45474 in exponential form is:

45474 = 21 × 31 × 111 × 131 × 531

Prime Factorization of 45488

Prime factors of 45488 are 2, 2843. Prime factorization of 45488 in exponential form is:

45488 = 24 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 45474 and 45488.

LCM(45474,45488) = 24 × 31 × 111 × 131 × 531 × 28431
LCM(45474,45488) = 1034260656